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The medieval Arab-Islamic world played a crucial role in shaping the trajectory of mathematics, with al-Khwārizmī's algebraic innovations serving as a cornerstone. The dissemination of Arabic mathematics to the West during the Islamic Golden Age , facilitated by cultural exchanges and translations, left a lasting impact on Western ...
His systematic approach to solving linear and quadratic equations led to algebra, a word derived from the title of his book on the subject, Al-Jabr. [41] On the Calculation with Hindu Numerals, written about 820, was principally responsible for spreading the Hindu–Arabic numeral system throughout the Middle East and Europe.
Al-Jabr (Arabic: الجبر), also known as The Compendious Book on Calculation by Completion and Balancing (Arabic: الكتاب المختصر في حساب الجبر والمقابلة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; [b] or Latin: Liber Algebræ et Almucabola), is an Arabic mathematical treatise on algebra written in Baghdad around 820 by the Persian polymath ...
Works by mathematicians who lived under the rule of Islam during the Middle Ages, irrespective of their religion, ethnicity or language. Pages in category "Mathematical works of the medieval Islamic world"
The Algebra is perhaps Abu Kamil's most influential work, which he intended to supersede and expand upon that of Al-Khwarizmi. [2] [11] Whereas the Algebra of al-Khwarizmi was geared towards the general public, Abu Kamil was addressing other mathematicians, or readers familiar with Euclid's Elements. [11]
One of his principal achievements in algebra was his demonstration of how to solve quadratic equations by completing the square, for which he provided geometric justifications. [49]: 14 Thabit numbers: Named after Thabit ibn Qurra; Throttling valve: It appears for the first time in the Banu Musa's Book of Ingenious Devices. [50]
In the history of mathematics, Arabic mathematics or Islamic mathematics refers to the mathematics developed by the Islamic civilization between 622 and 1600.While most scientists in this period were Muslims and Arabic was the dominant language, contributions were made by people of many religions (Muslims as well as Christians, Jews, and Zoroastrians) and ethnicities (Arabs as well as Persian ...
Only a chapter called "Logical Necessities in Mixed Equations", on the solution of quadratic equations, has survived. The manuscript gives exactly the same geometric demonstration as is found in Al-Jabr , and in one case the same example as found in Al-Jabr , and even goes beyond Al-Jabr by giving a geometric proof that if the discriminant is ...